Detecting Extra Dimension by Helium-like Ions

TL;DR

This paper proposes a method to detect extra dimensions predicted by the ADD model by calculating gravity corrections to helium-like ions' energy levels, potentially guiding future experimental searches.

Contribution

It introduces a variational approach to estimate gravity effects on helium-like ions within the ADD model, linking theoretical predictions to measurable frequencies.

Findings

Gravity corrections estimated for helium-like ions.

Potential experimental frequencies identified for detecting extra dimensions.

Provides a framework for future experimental validation.

Abstract

Considering that gravitational force might deviate from Newton's inverse-square law and become much stronger in small scale, we present a method to detect the possible existence of extra dimensions in the ADD model. By making use of an effective variational wave function, we obtain the nonrelativistic ground energy of a helium atom and its isoelectronic sequence. Based on these results, we calculate gravity correction of the ADD model. Our calculation may provide a rough estimation about the magnitude of the corresponding frequencies which could be measured in later experiments.